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grade8_integers_quiz2 draws its questions at random from a bank of 10 questions, with full worked solutions for every one.
A few of the question types, with full solutions, so you know what to expect.
Calculate: \((-14) \times 5\)
Answer: -70
\(\text{The signs are different (negative and positive), so the answer is negative.}\)
\(14 \times 5 = 70\)
Calculate: \((-19) \times (-2)\)
Answer: 38
\(\text{Both signs are the same (negative and negative), so the answer is positive.}\)
\(19 \times 2 = 38\)
Calculate: \((-24) \div 6\)
\(\text{Division follows the same sign rule as multiplication.}\)
\(\text{Different signs (negative and positive), so the answer is negative.}\)
\(24 \div 6 = 4\)
Which property is shown by: \(8 + (-3) = (-3) + 8\)?
Answer: Commutative Law
\(\text{The commutative law states that order does not matter for addition.}\)
\(a + b = b + a\)
Which property is shown by: \([(-6)+4]+(-1) = (-6)+[4+(-1)]\)?
Answer: Associative Law
\(\text{The associative law states that grouping does not matter for addition.}\)
\((a+b)+c = a+(b+c)\)